An Ambrosetti-Prodi-type result for doubly periodic solutions of the telegraph system
DOI10.1016/j.jmaa.2011.06.081zbMath1308.35132OpenAlexW2060142182MaRDI QIDQ641615
Publication date: 24 October 2011
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.06.081
doubly periodic solutionmethod of upper and lower solutionsAmbrosetti--Prodi-type resultLeray--Schauder degreetelegraph system
Periodic solutions to PDEs (35B10) Degree theory for nonlinear operators (47H11) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Second-order hyperbolic systems (35L51) Second-order semilinear hyperbolic equations (35L71)
Cites Work
- Existence and multiplicity results of positive doubly periodic solutions for nonlinear telegraph system
- A maximum principle for periodic solutions of the telegraph equation
- Positive doubly periodic solutions of nonlinear telegraph equations.
- Multiple doubly periodic solutions of semilinear dissipative hyperbolic equations
- The periodic Ambrosetti-Prodi problem for nonlinear perturbations of the \(p\)-Laplacian
- An Ambrosetti–Prodi-type result for periodic solutions of the telegraph equation
- A Multiplicity Result for Periodic Solutions of Forced Nonlinear Second order Ordinary Differential Equations
- A duality theorem for periodic solutions of a class of second order evolution equations
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